Future value and present value concepts are applied in various ways, such as calculating growth rates, earnings per share, expected sales and revenues in the future, and so forth.

Consider the following case:

Pharmacist John S$.$ Pemberton invented a soft drink in $1886$ that eventually became not only an integral part of everyday life in the United States but also a symbol of consumerism worldwide. In $1929$ the first Coca$-$Cola vending machines were installed in Germany, and in $1930,$ the German branch of the Coca$-$Cola Co$.$ opened in Essen.

Coca$-$Cola sales in Germany were $243,000$ cases in $1934,1$ million cases in $1936,$ and $4\mathrm{.}5$ million cases in $1939.$

Germany was a growing market for Coca$-$Cola, along with other countries in Europe, before World War II$.$ With the previous data given, calculate the company$$s sales growth rate for each time period in the following table:

Years

Growth Rate

$19341936$

$19361939$

$19341939$

$($Source: $$Coca$-$Cola GmbH and World War Two,$$ www$.$gettherealfacts.co$.$uk$/$docs$/$gmbh$.$pdf$)$

During World War II$,$ Coca$-$Cola Co$.$ cut off all syrup sales to Germany in $1940,$ resulting in no sales from $1943$ to $1945.$ If Coca$-$Cola$$s sales had grown from $1939$ to $1945$ at the same rate that they grew between $1934$ and $1939,$ its sales in $1945$ would have been approximately cases. $($Hint: Use sales data from $1939$ as the present value.$)$

Coca$-$Cola$$s worldwide sales as of December $31,2011,$ was $26\mathrm{.}7$ billion cases. Assume the following sales distribution:

Unit Case Volume

Eastern Europe $20\%$

Germany $16\%$

Spain $14\%$

Great Britain $12\%$

Italy $9\%$

France $8\%$

Other $21\%$

If Coca$-$Cola$$s worldwide growth were to continue at the same growth rate as it did in Germany between $1939$ and $2008,$ when sales grew at the rate of $10\mathrm{.}26\%,$ its hypothetical sales in France in $2053(42$ years from $2011)$ would be approximately billion cases. $($Note: For this question, ignore other factors that affect sales.$)$